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Research Seminars: Graduate Student Colloquium

Fall 2021

Time & Location: All talks are on Tuesdays at 5:00 PM unless otherwise noted.
Organizer: Houser, Hayden

Archives

September 14

Title: Zeros of Orthogonal Polynomials
Victor Bankston | Tulane University

Abstract: We will plot the Krawtchouk polynomials to illustrate the interleaving of zeros of orthogonal polynomials.

Time: 5:00pm
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September 28

Title: An Introduction to Stokes Flow
Kendall Gibson | Tulane University

Abstract: This talk will be an introduction to incompressible Stokes flow. First, we will get a general idea of some of the properties of Stokes flow and when its applicable. Then we will look at how to solve these equations.

Time: 5:00pm
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October 5

Title: A naive introduction to affine schemes
Nestor F. Diaz Morera | Tulane University

Abstract: I will be sailing over some algebraic sea such that at some point I reach a piece of geometric land. Hopefully, the (Zariski) topological moon will help me out.

Time: 5:00pm
Location: Gibson 126A

 

October 12

Title: On the Empirical Spectral Distribution for Random Matrices with Independent Rows
Oliver Orejola | Tulane University

Abstract: Empirical Spectral Distributions (ESDs) are a central object of study in random matrix theory. Often, we are interested in the eigenvalue behavior of matrices.  This talk will introduce modern results concerning random matrices with independent rows. We begin with classic results including Wigner's Semi Circle theorem and Marchenko-Pastur theorem. Then, we depart from $i.i.d$ entries and explore some recent results concerning independent rows.

Time: 5:00pm
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October 19

Title: Hard Instances from Generalized Error Correcting Codes
Victor Bankston | Tulane University

Abstract: We relate the problem of finding hard instances of Independent Set to a problem of coding theory. We propose a method of solution based on a connection with quantum information and an accompanying generalization to the theory of error correcting codes.

Time: 5:00pm
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October 26

Title: Combinatorial Nullstellensatz
Thai Nguyen | Tulane University

Abstract: Nullstellensatz is “the theorem of zero-set” in German. While Hilbert’s Nullstellensatz is the foundation of algebraic geometry, the Combinatorial Nullstenllensatz, introduced by Noga Alon in 1999, has seen many dramatic applications in additive number theorey, extremal graph theory and combinatorics. I will talk about some simple applications of the Combinatorial Nullstenllensatz, including high school math problems and two classical theorems: Cauchy-Davenport theorem in additive combinatorics and Chevalley-Warning theorem in algebra.

Time: 5:00pm
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